Patent of coin sorting, counting and sorting machine

Suppose he changed it on the first machine.

x

The second time, I changed it on B.

y

The second time was changed on C.

12-x-y

Time.

Change 1 time on the first machine, and the currency will increase.

2- 1

=

1

Change 1 time on two machines, and the number of coins will increase.

4- 1

=

three

Change 1 time on C machine, and the number of coins will increase.

10- 1

=

nine

Enumerable equation: x+3y+9( 12-x-y)

=

8 1- 1

Binding: 4x+3y

=

14

, available: y

=

( 14-4x)/3

will

x

=

1、2、3

Substitution tests were conducted separately,

Available: Positive integer solutions only

x

=

2

,y

=

2

; Yes: 12-x-y

=

eight

So, he changed it on the first machine.

2

The second time, I changed it on B.

2

The second time, I changed it on C.

eight

Time.